Applied Mathematics - ll : Differentiation Of Different Function|Chapter 03 | Lecture 05 Notes For Polytechnic

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Applied Mathematics - ll : Differentiation Of Different Function|Chapter 03 | Lecture 05 Notes For Polytechnic

( Last Lecture )

Hey Everyone, How are you ... Today I will tell you How to Differentiate Of Logarithmic Function, Which is lecture 05 of Chapter 03 Differentiation Of Different Function Applied Mathematics 2 

Lecture - 05 ( Topics ) :

1 ) Differentiation OF Logarithmic Function 

2 ) Some Important Questions 

3 ) Lecture Related Questions

( Overview )

1 ) Differentiation Of Logarithmic Function

The Logarithmic Function is basically Used If The Function in the form of 

                Y = { F(x) } ^ g ( x ) 

Then, Taking Log Both Site ,

               Logy = g(x ) { F ( x ) } 

Then Differentiate The Function,  

Some Important Logarithmic Formulas ;

1 ) Log PQ.      = Log P + Log Q 

2 ) Log ( P/Q ) = Log P - Log Q

3 ) Log P ^ n   = n Log P

4 ) Log aX       = LogeX / Logea 

( Logarithmic Function )

2 ) Some Important Questions 

Question 01 ) 

Differentiate X^x with respect to x

Solution : View On This Page 

Question 02 ) 

Differentiate ( Sinx )^ Cos x with respect to x .

Solution : View On This Page

Question 03 ) 

Differentiate X ^ Logx with respect to x

Solution : View On This Page 

Question 04 ) 

Find dy/dx , If y = ( X )^sinx + (Sinx )^ x 

Solution : View On This Page 

Question 05 ) 



Differentiate Log Sinx , w.r.t √ Cos x .

Solution : View On This Page 

( Question 06 )

If X^m y^n = ( x + y ) ^ m+ n , Prove That dy /dx = y /x .

Solution : View In This page 

Question 07 )

If X ^y = e ^ ( x - y ) , Prove That dy /dx = Logx/ (1 + Logx )².

Solution View On This Page 

Lecture Related Questions ;

Lecture 05 | Chapter 03 | Differentiation Of Different Function Notes 

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